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Finding the Third Proportional to 16,022.50 and 23,903

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Solution

The third proportional to 16,022.50 and 23,903 is: 35,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.50 : 23,903 = 23,903 : x
  2. Step 2: Convert to fraction form
    16,022.50/23,903 = 23,903/x
  3. Step 3: Cross multiply
    16,022.50x = 23,903 × 23,903
  4. Step 4: Simplify right side
    16,022.50x = 571,353,409
  5. Step 5: Solve for x
    x = 571,353,409/16,022.50
  6. Step 6: Final answer
    x = 35,659.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.